Vector-valued modular forms on a three-dimensional ball

In this paper we give a structure theorem for the module of vector valued modular forms in the case of a three dimensional ball with the action of the Picard modular group . The corresponding modular variety of dimension is a copy of the Segre cubic.

Saved in:
Bibliographic Details
Main Authors: Freitag, Eberhard (Author) , Salvati Manni, Riccardo (Author)
Format: Article (Journal)
Language:English
Published: 2019
In: Transactions of the American Mathematical Society
Year: 2018, Volume: 371, Issue: 8, Pages: 5293-5308
ISSN:1088-6850
DOI:10.1090/tran/7343
Online Access:Verlag, Volltext: https://doi.org/10.1090/tran/7343
Verlag, Volltext: https://www.ams.org/tran/2019-371-08/S0002-9947-2018-07343-3/
Get full text
Author Notes:Eberhard Freitag and Riccardo Salvati Manni
Description
Summary:In this paper we give a structure theorem for the module of vector valued modular forms in the case of a three dimensional ball with the action of the Picard modular group . The corresponding modular variety of dimension is a copy of the Segre cubic.
Item Description:Published electronically: December 3, 2018
Gesehen am 29.05.2019
Physical Description:Online Resource
ISSN:1088-6850
DOI:10.1090/tran/7343